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Finding the Fourth Proportional to 95.38, 131.63 and 64.30

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Solution

The fourth proportional to 95.38, 131.63 and 64.30 is: 88.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.38 : 131.63 = 64.30 : x
  2. Step 2: Convert to fraction form
    95.38/131.63 = 64.30/x
  3. Step 3: Cross multiply
    95.38x = 131.63 × 64.30
  4. Step 4: Simplify right side
    95.38x = 8,463.81
  5. Step 5: Solve for x
    x = 8,463.81/95.38
  6. Step 6: Final answer
    x = 88.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.